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Finding a constant for a partial differential equation

by KataKoniK
Tags: constant, differential, equation, partial
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KataKoniK
#1
Nov30-05, 07:48 PM
P: 168
Can anyone help me with this question? I tried taking the derivative of u with respect to x and then summed the third derivative, but I'm getting nowhere. Any help would be great, thanks.

Let u(x1, x2, , xn) = , where a is a constant, and n is given.

Find all the values of the constant a, if any, for which the function u satisfies the partial differential equation .
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CarlB
#2
Dec4-05, 10:04 PM
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Do you think it's possible that you should be making a substitution for the sum of x_i squared? It just seems that polar coordinates might be an easier way to work the problem. Not that it would be easy.

Carl

Now. How do I make that little "lightbulb" that I accidentally clicked on go away?


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